Preface ....................................................... vii
Conference program ............................................. ix
List of participants ......................................... xiii
Joseph Donin's mathematical research, 1966-2003
A. Mudrov and S. Shnider ..................................... 1
Geometric and unipotent crystals II: Prom unipotent
bicrystals to crystal bases
A. Berenstein and D. Kazhdan ................................ 13
The small quantum group and the Springer resolution
R. Bezrukavnikov and A. Lachowska ........................... 89
Relation between two geometrically defined bases in
representations of GLn
A. Braverman, D. Gaitsgory, and M. Vybornov ................ 103
Fourier transforms for Hopf algebras
M. Cohen and S. Westreich .................................. 115
Quantization of some Poisson-Lie dynamical r-matrices
and Poisson homogeneous spaces
B. Enriquez, P. Etingof, and I. Marshall ................... 135
Basic representations of quantum current algebras in
higher genus
B. Enriquez, S. Pakuliak, and V. Rubtsov ................... 177
Poincare-Birkhoff-Witt expansions of the canonical
elliptic differential form
G. Felder, R. Rimanyi, and A. Varchenko .................... 191
Geometry of non-commutative orbits related to Hecke
symmetries
D. Gurevich and P. Sapanov ................................. 209
Drinfeld double for orbifolds
V. Hinich .................................................. 251
Symmetrically factorizable groups and set-theoretical
solutions of the pentagon equation
R.M. Kashaev and N. Reshetikhin ............................ 267
Dynamical reflection equation
P.P. Kulish and A.I. Mudrov ................................ 281
On the combinatorics of Carter-Rieger-Saito movies in
the theory of smoothly knotted surfaces in 4
G. Lancaster, R. Larson, and J. Towber ..................... 311
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